Document Type : Original Paper
Authors
1 Department of Epidemiology and Biostatistics, College of Public Health, University of the Philippines Manila, Manila, Philippines
2 Mathematics and Statistics Department, College of Science, De La Salle University, Manila, Philippines
Abstract
Challenges such as advances in technology, demands of the global market, and limited warehouse spaces resort manufacturing industries to subcontracting. Subcontracting has been a considerable alternative in the manufacturing industries and is utilized as a strategic tool to diminish operation costs primarily to address the problem of scarcity when the firm faces a large demand on the commodity it supplies. The present study employed a mathematical model among firms engaging in subcontracting in search of an optimal schedule in the manufacture of the product and distribution of production time involved with an objective of obtaining a maximum profit. The constraints in the mathematical formulation included the total demand, processing capacity, available supply, processing rate, and time. The plausibility and the possible utility of the mathematical model has been explored employing sequential quadratic programming algorithm in the search of the optimal solutions.
Keywords
- Goldstein B, Ruckelshaus C. Confronting contingent work abuse. From Orchards to the Internet (2002). http://www.nlg-laboremploy-comm.org/media/ documen ts/nlg-laboremploy-comm.org_25.pdf .
- Mosheiov G. Parallel machine scheduling with a learning effect. Oper. Res. Soc. 52(10): 1165-1169 (2001).
- Dubey R, Gunasekaran A, Singh S, Singh T. Building theory of sustainable manufacturing using total interpretive structural modelling. IJSS: O&L. 2(4): 231-247 (2015).
- Hao Y, Helo P, Shamsuzzoha, A. Virtual factory system design and implementation: integrated sustainable manufacturing. IJSS: O&L. 5(2): 116-132 (2018).
- Gharaei A, Karimi M, Hoseini Shekarabi S. Joint economic lot-sizing in multi-product multi-level integrated supply chains: generalized benders decomposition. IJSS: O&L (2019). doi:10.1080/23302674.2019.1585595.
- Hoseini Shekarabi S, Gharaei A, Karimi M. Modelling and optimal lot-sizing of integrated multi-level multi-wholesaler supply chains under the shortage and limited warehouse space: generalised outer approximation. IJSS: O&L (2018). doi: 10.1080/23302674.2018.1435835.
- Kazemi N, Abdul-Rashid S, Ghazilla R, Shekarian E, Zanoni S. Economic order quantity models for items with imperfect quality and emission considerations. IJSS: O&L. 5(2): 99-115 (2018).
- Sayyadi R, Awasthi A. An integrated approach based on system dynamics and ANP for evaluating sustainable transportation policies. IJSS: O&L (2018). doi:10.1080/23302674.2018.1554168.
- Awasthi A, Omrani H. A goal-oriented approach based on fuzzy axiomatic design for sustainable mobility project selection. IJSS: O&L. 6(1): 86-98 (2019).
- Duan C, Deng C, Gharaei A, Wu J, Wang B. Selective maintenance scheduling under stochastic maintenance quality with multiple maintenance actions. J. Prod. Res. 56(23): 7160-7178 (2018).
- Rabbani M, Foroozesh N, Mousavi S, Farrokhi-Asl H. Sustainable supplier selection by a new decision model based on interval-valued fuzzy sets and possibilistic statistical reference point systems under uncertainty. IJSS: O&L. 6(2): 162-178 (2019).
- Rabbani M, Hosseini-Mokhallesun S, Ordibazar A, Farrokhi-Asl H. A hybrid robust possibilistic approach for a sustainable supply chain location-allocation network design. IJSS: O&L (2019). doi:10.1080/23302674.2018.1506061.
- Sayyadi R, Awasthi A. A simulation-based optimisation approach for identifying key determinants for sustainable transportation planning. IJSS: O&L. 5(2): 161-174 (2018).
|
|
- Tsao Y. Design of a carbon-efficient supply-chain network under trade credits. IJSS: O&L. 2(3): 177-186 (2015).
- Gharaei A, Karimi M, Hoseini Shekarabi S. An integrated multi-product, multi-buyer supply chain under penalty, green, and quality control polices and a vendor managed inventory with consignment stock agreement: the outer approximation with equality relaxation and augmented penalty algorithm. Math. Model. 69: 223-254 (2018).
- Gharaei A, Hoseini Shekarabi S, Karimi M. Modelling and optimal lot-sizing of the replenishments in constrained, multi-product and bi-objective EPQ models with defective products: generalised cross decomposition. IJSS: O&L (2019). doi:10.1080/23302674.2019.1574364.
- Sun G, Yu L. The supplying chain scheduling with the cost constraint and subcontracting. Oper. Res. 1-4 (2014).
- Chen Z, Li C. Scheduling with subcontracting options. IIE Trans. 40(12): 1171-1184 (2006).
- Holloway C, Nelson R. Alternative formulation of the job shop problem with due dates. Manage Sci. 20(1): 65-75 (1973).
- Bertrand J, Sridharan V. A study of simple rules for subcontracting in make-to-order manufacturing. J. Oper. Res. 128(3): 509-531 (2001).
- Perry R, Smith H. Perry’s Chemical Engineers’ Handbook, 7th McGraw-Hill Companies, Inc. (1997).
- Schittkowski K. A robust implementation of a sequential quadratic programming algorithm with successive error restoration. Optimization online; (2010). http://www.optimization-online.org/DB_FILE/2010/01/ 2520.pdf
- Snyman J. Standard methods for constrained optimization, In Practical mathematical optimization: an introduction to basic optimization theory and classical and new gradient-based algorithms. 97: 93-95 (2005).
- SAS User’s Guide, Statistics. North Carolina, SAS Institute; (1982).
- Weisstein E. Basin of Attraction. Math World, A Wolfram Web Resource. https://mathworld.wolfram.com/BasinofAttraction.html.
- Karjanto N, Susanto H. Newton’s method’s basins of attraction revisited. Math. Comput. 215: 1084-1090 (2009).
)