Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Artificial Intelligence Review
Published in: Artificial Intelligence Review 5/2023

20-09-2022

An application of tournament differential evolution algorithm in production inventory model with green level and expiry time dependent demand

Authors: Md Akhtar, Avijit Duary, Amalesh Kumar Manna, Ali Akbar Shaikh, Asoke Kumar Bhunia

Published in: Artificial Intelligence Review | Issue 5/2023

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

In the present situation, environment is rapidly polluted by the manufacturing of non-eco-friendly products and carbon emission from production industries. So, to control this pollution as well as carbon emission, everyone should be aware to use eco-friendly products and reduce carbon emission. Motivating on this topic, a model on green manufacturing system has been formulated where the produced items are eco-friendly and have a fixed lifetime. Also, in this model, the green level of the produced items enhances the demand of the customers. The objective of this work is to determine the green level of the product and business period by maximizing the average profit of the system. To solve the corresponding maximization problems, a hybrid tournament differential evolution (TDE) algorithm is applied to obtain the best-found solutions along with the average profit of the system. To check the validity of the proposed model, a numerical example is considered and solved by the different variants of the said algorithm. Also, the simulated results obtained from the different variants of TDE algorithm are compared with the simulated results obtained from some of the existing algorithms reported in the literature. Then to test the performance and efficiency of the said hybrid algorithm, statistical comparisons, statistical tests are performed. Finally, sensitivity analyses are carried out in order to examine the effects of changes of parameters involved in the model on the average profit, green level of the product, business and production periods.
previous article Matrix-based fast granularity reduction algorithm of multi-granulation rough set
next article An SOA-RBFNN approach for the system modelling of optimal energy management in grid-connected smart grid system

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

inform now
Literature
Annadurai K, Uthayakumar R (2013) Two-echelon inventory model for deteriorating items with credit period dependent demand including shortages under trade credit. Optim Lett 7(6):1227–1249MathSciNetMATHCrossRef
Baines T, Brown S, Benedettini O, Ball P (2012) Examining green production and its role within the competitive strategy of manufacturers. J Ind Eng Manag 5(1):53–87
Banu A, Manna AK, Mondal SK (2021) Adjustment of credit period and stock-dependent demands in a supply chain model with variable imperfectness. RAIRO Oper Res 55:1291–1324MathSciNetMATHCrossRef
Baron O, Berman O, Perry D (2011) Shelf space management when demand depends on the inventory level. Prod Oper Manag 20(5):714–726CrossRef
Barron Y (2019) A state-dependent perishability (s, S) inventory model with random batch demands. Ann Oper Res 280(1):65–98MathSciNetCrossRef
Barron Y (2021) A replenishment inventory model with a stock-dependent demand and age–stock-dependent cost functions in a random environment. Asia-Pac J Oper Res 39(3):2150035MathSciNetMATHCrossRef
Barron Y, Baron O (2020) QMCD approach for perishability models: the (S, s) control policy with lead time. IISE Trans 52(2):133–150CrossRef
Bazan E, Jaber MY, El Saadany AM (2015) Carbon emissions and energy effects on manufacturing–remanufacturing inventory models. Comput Ind Eng 88:307–316CrossRef
Bhunia A, Shaikh A, Maiti A, Maiti M (2013) A two warehouse deterministic inventory model for deteriorating items with a linear trend in time dependent demand over finite time horizon by elitist real-coded genetic algorithm. Int J Ind Eng Comput 4(2):241–258
Bhunia AK, Kundu S, Sannigrahi T, Goyal SK (2009) An application of tournament genetic algorithm in a marketing oriented economic production lot-size model for deteriorating items. Int J Prod Econ 119(1):112–121CrossRef
Bhunia AK, Shaikh AA (2015) An application of PSO in a two-warehouse inventory model for deteriorating item under permissible delay in payment with different inventory policies. Appl Math Comput 256:831–850MathSciNetMATHCrossRef
Bhunia AK, Shaikh AA, Cárdenas-Barrón LE (2017) A partially integrated production-inventory model with interval valued inventory costs, variable demand and flexible reliability. Appl Soft Comput 55:491–502CrossRef
Bond TC, Sun H (2005) Can reducing black carbon emissions counteract global warming? Environ Sci Technol 39(16):5921–5926CrossRef
Brest J, Greiner S, Boskovic B, Mernik M, Zumer V (2006) Self-adapting control parameters in differential evolution: a comparative study on numerical benchmark problems. IEEE Trans Evol Comput 10(6):646–657CrossRef
Chan RY (2001) Determinants of Chinese consumers’ green purchase behavior. Psychol Mark 18(4):389–413CrossRef
Chen SC, Teng JT (2014) Retailer’s optimal ordering policy for deteriorating items with maximum lifetime under supplier’s trade credit financing. Appl Math Model 38(15–16):4049–4061MathSciNetMATHCrossRef
Chen W, Wu Z, He J, Gao P, Xu S (2007) Carbon emission control strategies for China: a comparative study with partial and general equilibrium versions of the China MARKAL model. Energy 32(1):59–72CrossRef
Chen X, Li L, Zhou M (2012) Manufacturer’s pricing strategy for supply chain with warranty period-dependent demand. Omega 40(6):807–816CrossRef
Chin TA, Tat HH, Sulaiman Z (2015) Green supply chain management, environmental collaboration and sustainability performance. Procedia CIRP 26:695–699CrossRef
Civicioglu P (2013) Backtracking search optimization algorithm for numerical optimization problems. Appl Math Comput 219(15):8121–8144MathSciNetMATHCrossRef
Coelho LS (2010) Gaussian quantum-behaved particle swarm optimization approaches for constrained engineering design problems. Expert Syst Appl 37(2):1676–1683CrossRef
Daniel JS, Rajendran C (2005) A simulation-based genetic algorithm for inventory optimization in a serial supply chain. Int Trans Oper Res 12(1):101–127MATHCrossRef
Das SC, Manna AK, Rahman MS, Shaikh AA, Bhunia AK (2021) An inventory model for non-instantaneous deteriorating items with preservation technology and multiple credit periods-based trade credit financing via particle swarm optimization. Soft Comput 25(7):5365–5384MATHCrossRef
Das SC, Zidan AM, Manna AK, Shaikh AA, Bhunia AK (2020) An application of preservation technology in inventory control system with price dependent demand and partial backlogging. Alex Eng J 59(3):1359–1369CrossRef
Derrac J, García S, Molina D, Herrera F (2011) A practical tutorial on the use of nonparametric statistical tests as a methodology for comparing evolutionary and swarm intelligence algorithms. Swarm Evol Comput 1(1):3–18CrossRef
Dolai M, Manna AK, Mondal SK (2022) Sustainable manufacturing model with considering greenhouse gas emission and screening process of imperfect items under stochastic environment. Int J Appl Comput Math 8(3):1–21MathSciNetMATHCrossRef
Duary A, Banerjee T, Shaikh AA, Niaki STA, Bhunia AK (2019a) A Weibull distributed deteriorating inventory model with all-unit discount, advance payment and variable demand via different variants of PSO. Int J Logist Syst Manag (In press).
Duary A, Rahman MS, Shaikh AA, Niaki ST, Bhunia AK (2020) A new hybrid algorithm to solve bound-constrained nonlinear optimization problems. Neural Comput Appl 32(16):12427–12452CrossRef
García S, Molina D, Lozano M, Herrera F (2009) A study on the use of non-parametric tests for analyzing the evolutionary algorithms’ behaviour: a case study on the CEC’ 2005 special session on real parameter optimization. J Heuristics 15(6):617–644MATHCrossRef
Ghosh D, Shah J (2012) A comparative analysis of greening policies across supply chain structures. Int J Prod Econ 135(2):568–583CrossRef
Giri BC, Mondal C, Maiti T (2018) Analysing a closed-loop supply chain with selling price, warranty period and green sensitive consumer demand under revenue sharing contract. J Clean Prod 190:822–837CrossRef
Gupta RK, Bhunia AK, Goyal SK (2009) An application of genetic algorithm in solving an inventory model with advance payment and interval valued inventory costs. Math Comput Model 49(5–6):893–905MathSciNetMATHCrossRef
Hammami R, Nouira I, Frein Y (2015) Carbon emissions in a multi-echelon production-inventory model with lead time constraints. Int J Prod Econ 164:292–307CrossRef
Harris I, Naim M, Palmer A, Potter A, Mumford C (2011) Assessing the impact of cost optimization based on infrastructure modelling on CO2 emissions. Int J Prod Econ 131(1):313–321CrossRef
Jaggi CK, Tiwari S, Goel SK (2017) Credit financing in economic ordering policies for non-instantaneous deteriorating items with price dependent demand and two storage facilities. Ann Oper Res 248(1–2):253–280MathSciNetMATHCrossRef
Jamali MB, Rasti-Barzoki M (2018) A game theoretic approach for green and non-green product pricing in chain-to-chain competitive sustainable and regular dual-channel supply chains. J Clean Prod 170:1029–1043CrossRef
Jha A, Somani K, Tiwari MK, Chan FT, Fernandes KJ (2012) Minimizing transportation cost of a joint inventory location model using modified adaptive differential evolution algorithm. Int J Adv Manuf Technol 60(1):329–341CrossRef
Kalafatis SP, Pollard M, East R, Tsogas MH (1999) Green marketing and Ajzen’s theory of planned behaviour: a cross-market examination. J Consum Mark 16(5):441–460CrossRef
Li C, Deng L, Qiao L, Zhang L (2022) An efficient differential evolution algorithm based on orthogonal learning and elites local search mechanisms for numerical optimization. Knowl Based Syst 235:107636CrossRef
Liu J, Lampinen J (2005) A fuzzy adaptive differential evolution algorithm. Soft Comput 9(6):448–462MATHCrossRef
Manna AK, Das B, Dey JK, Mondal SK (2017) Two layers green supply chain imperfect production inventory model under bi-level credit period. Tékhne 15(2):124–142CrossRef
Manna AK, Das B, Dey JK, Mondal SK (2018) An EPQ model with promotional demand in random planning horizon: population varying genetic algorithm approach. J Intell Manuf 29(7):1515–1531CrossRef
Min J, Zhou YW, Zhao J (2010) An inventory model for deteriorating items under stock-dependent demand and two-level trade credit. Appl Math Model 34(11):3273–3285MathSciNetMATHCrossRef
Modak NM, Panda S, Sana SS (2015) Managing a two-echelon supply chain with price, warranty and quality dependent demand. Cogent Bus Manag 2(1):1011014CrossRef
Mohamed AW, Suganthan PN (2018) Real-parameter unconstrained optimization based on enhanced fitness-adaptive differential evolution algorithm with novel mutation. Soft Comput 22(10):3215–3235CrossRef
Mostafa MM (2007) A hierarchical analysis of the green consciousness of the Egyptian consumer. Psychol Mark 24(5):445–473CrossRef
Naik A, Satapathy SC, Abraham A (2020) Modified Social Group Optimization—a meta-heuristic algorithm to solve short-term hydrothermal scheduling. Appl Soft Comput 95:106524CrossRef
Panda GC, Khan MA, Shaikh AA (2019) A credit policy approach in a two-warehouse inventory model for deteriorating items with price- and stock-dependent demand under partial backlogging. J Ind Eng Int 15(1):147–170CrossRef
Panja S, Mondal SK (2020) Exploring a two-layer green supply chain game theoretic model with credit linked demand and mark-up under revenue sharing contract. J Clean Prod 250:119491CrossRef
Paul ID, Bhole GP, Chaudhari JR (2014) A review on green manufacturing: it’s important, methodology and its application. Procedia Mater Sci 6:1644–1649CrossRef
Rahman MS, Duary A, Khan M, Shaikh AA, Bhunia AK (2021) Interval valued demand related inventory model under all units discount facility and deterioration via parametric approach. Artif Intell Rev 55:1–40
Rahman MS, Manna AK, Shaikh AA, Bhunia AK (2020) An application of interval differential equation on a production inventory model with interval-valued demand via center-radius optimization technique and particle swarm optimization. Int J Intell Syst 35(8):1280–1326CrossRef
Rao R (2016a) Jaya: a simple and new optimization algorithm for solving constrained and unconstrained optimization problems. Int J Ind Eng Comput 7(1):19–34MathSciNet
Rao R (2016b) Review of applications of TLBO algorithm and a tutorial for beginners to solve the unconstrained and constrained optimization problems. Decis Sci Lett 5(1):1–30MathSciNet
Rao R (2020) Rao algorithms: three metaphor-less simple algorithms for solving optimization problems. Int J Ind Eng Comput 11(1):107–130
Routroy S, Kodali R (2005) Differential evolution algorithm for supply chain inventory planning. J Manuf Technol Manag 16(1):7–17CrossRef
Sarkar B, Sarkar S (2013) An improved inventory model with partial backlogging, time varying deterioration and stock-dependent demand. Econ Model 30:924–932CrossRef
Sarkar B, Sarkar S, Yun WY (2016) Retailer’s optimal strategy for fixed lifetime products. Int J Mach Learn Cybern 7(1):121–133CrossRef
Sarkar S, Modak NM, Giri BC, Sarkar AK, Cárdenas-Barrón LE (2022) Coordinating a supplier–retailer JELS model considering product quality assessment and green retailing. J Clean Prod 356:131658CrossRef
Satapathy S, Naik A (2016) Social group optimization (SGO): a new population evolutionary optimization technique. Complex Intell Syst 2(3):173–203CrossRef
Sett BK, Sarkar S, Sarkar B, Young Yun W (2016) Optimal replenishment policy with variable deterioration for fixed lifetime products. Sci Iran 23(5):2318–2329
Shaikh AA, Khan MA, Panda GC, Konstantaras I (2019) Price discount facility in an EOQ model for deteriorating items with stock-dependent demand and partial backlogging. Int Trans Oper Res 26(4):1365–1395MathSciNetCrossRef
Shen Y, Shen K, Yang C (2019) A production inventory model for deteriorating items with collaborative preservation technology investment under carbon tax. Sustainability 11(18):5027CrossRef
Solazzo R, Donati M, Tomasi L, Arfini F (2016) How effective is greening policy in reducing GHG emissions from agriculture? Evidence from Italy. Sci Total Environ 573:1115–1124CrossRef
Storn R, Price K (1997) Differential evolution—a simple and efficient heuristic for global optimization over continuous spaces. J Glob Optim 11(4):341–359MathSciNetMATHCrossRef
Sundarakani B, De Souza R, Goh M, Wagner SM, Manikandan S (2010) Modeling carbon footprints across the supply chain. Int J Prod Econ 128(1):43–50CrossRef
Sundararajan R, Palanivel M, Uthayakumar R (2021) An EOQ model of non-instantaneous deteriorating items with price, time-dependent demand and backlogging. J Control Decis 8(2):135–154MathSciNetCrossRef
Teng JT, Cárdenas-Barrón LE, Chang HJ, Wu J, Hu Y (2016) Inventory lot-size policies for deteriorating items with expiration dates and advance payments. Appl Math Model 40(19–20):8605–8616MathSciNetMATHCrossRef
Tiwari S, Cárdenas-Barrón LE, Goh M, Shaikh AA (2018a) Joint pricing and inventory model for deteriorating items with expiration dates and partial backlogging under two-level partial trade credits in supply chain. Int J Prod Econ 200:16–36CrossRef
Tiwari S, Daryanto Y, Wee HM (2018b) Sustainable inventory management with deteriorating and imperfect quality items considering carbon emission. J Clean Prod 192:281–292CrossRef
Urban TL (2005) Inventory models with inventory-level-dependent demand: a comprehensive review and unifying theory. Eur J Oper Res 162(3):792–804MATHCrossRef
Uthayakumar R, Tharani S (2019) Inventory lot-size policies for deteriorating items with expiration dates, advance payments and shortages under trade credit. Int J Serv Oper Manag 34(1):111–140
Wang L, He J, Wu D, Zeng YR (2012) A novel differential evolution algorithm for joint replenishment problem under interdependence and its application. Int J Prod Econ 135(1):190–198CrossRef
Wang L, Peng L, Wang S, Liu S (2020) Advanced backtracking search optimization algorithm for a new joint replenishment problem under trade credit with grouping constraint. Appl Soft Comput 86:105953CrossRef
Wang Y, Cai Z, Zhang Q (2011) Differential evolution with composite trial vector generation strategies and control parameters. IEEE Trans Evol Comput 15(1):55–66CrossRef
Wang Y, Xie T, Yang S (2017) Carbon emission and its decoupling research of transportation in Jiangsu Province. J Clean Prod 142:907–914CrossRef
Wu KS, Ouyang LY, Yang CT (2006) An optimal replenishment policy for non-instantaneous deteriorating items with stock-dependent demand and partial backlogging. Int J Prod Econ 101(2):369–384CrossRef
Xi M, Sun J, Xu W (2008) An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position. Appl Math Comput 205(2):751–759MATHCrossRef
Xu W, Sun J (2005) Adaptive parameter selection of quantum-behaved particle swarm optimization on global level. In: International conference on intelligent computing, Springer, Berlin, pp 420–428
Yang XS (2010) Firefly algorithm, stochastic test functions and design optimisation. Int J Bio-Inspired Comput 2(2):78–84CrossRef
Zaharie D (2002) Critical values for the control parameters of differential evolution algorithms. In: Proceedings of MENDEL 2002, 8th international conference on soft computing 2002, pp 62–67.
Zeng YR, Peng L, Zhang J, Wang L (2016) An effective hybrid differential evolution algorithm incorporating simulated annealing for joint replenishment and delivery problem with trade credit. Int J Comput Intell Syst 9(6):1001–1015CrossRef
Zhang B, Xu L (2013) Multi-item production planning with carbon cap and trade mechanism. Int J Prod Econ 144(1):118–127MathSciNetCrossRef
Zhang CT, Liu LP (2013) Research on coordination mechanism in three-level green supply chain under non-cooperative game. Appl Math Model 37(5):3369–3379MathSciNetMATHCrossRef
Zhang J, Sanderson AC (2009) JADE: adaptive differential evolution with optional external archive. IEEE Trans Evol Comput 13(5):945–958CrossRef
Zhang Y (2021) Backtracking search algorithm with specular reflection learning for global optimization. Knowl Based Syst 212:106546CrossRef
Zhou YZ, Yi WC, Gao L, Li XY (2017) Adaptive differential evolution with sorting crossover rate for continuous optimization problems. IEEE Trans Cybern 47(9):2742–2753CrossRef
Metadata
Title
An application of tournament differential evolution algorithm in production inventory model with green level and expiry time dependent demand
Authors
Md Akhtar
Avijit Duary
Amalesh Kumar Manna
Ali Akbar Shaikh
Asoke Kumar Bhunia
Publication date
20-09-2022
Publisher
Springer Netherlands
Published in
Artificial Intelligence Review / Issue 5/2023
Print ISSN: 0269-2821
Electronic ISSN: 1573-7462
DOI
https://doi.org/10.1007/s10462-022-10268-4

Other articles of this Issue 5/2023

Artificial Intelligence Review 5/2023 Go to the issue

OriginalPaper

Automatic captioning for medical imaging (MIC): a rapid review of literature

OriginalPaper

Cross-domain decision making based on TrAdaBoost for diagnosis of breast lesions

OriginalPaper

Securing federated learning with blockchain: a systematic literature review

OriginalPaper

Recent advances in decision trees: an updated survey

OriginalPaper

Inference-based complete algorithms for asymmetric distributed constraint optimization problems

OriginalPaper

Setback in ranking fuzzy numbers: a study in fuzzy risk analysis in diabetes prediction

Premium Partner

    Image Credits