Simultaneous determination of production and shipment decisions for a multi-product inventory system with a rework process

In a turbulent and highly competitive business environment, management always pursues options to reduce overall operating costs. The vendor‐buyer integrated system has recently drawn attention from managers, because it can benefit both parties of the supply chain and it is suitable to be applied to a so‐called intra‐supply chain system within the present‐day globalized enter‐ prise. This study attempts to simultaneously determine production and ship‐ ment decisions for a multi‐product vendor‐buyer integrated inventory system with a rework process, wherein multiple products are fabricated in sequence by a single machine under a rotation cycle time policy. All defective items produced in regular production are assumed repairable, and are reworked right after the regular production ends. Finished goods of each product are transported to sales offices/customers after rework. A multi‐delivery policy is applied, wherein a fixed quantity of n instalments of the finished batch is delivered at fixed intervals during the delivery timeframe. Mathematical modelling and optimization techniques are used to help simultaneously de‐ termine the optimal production and shipment decisions that minimize the expected overall system costs. A numerical example is used to show the ap‐ plicability of our research results. © 2016 PEI, University of Maribor. All rights reserved.

[1]  G. Gaalman Optimal Aggregation of Multi-Item Production Smoothing Models , 1978 .

[2]  Herbert Jodlbauer,et al.  Optimizing service-level and relevant cost for a stochastic multi-item cyclic production system , 2012 .

[3]  R. J. Tersine Principles of inventory and materials management , 1982 .

[4]  Yuan-Shyi Peter Chiu,et al.  Optimal run time for EPQ model with scrap, rework and stochastic breakdowns: A note , 2014 .

[5]  Bhaba R. Sarker,et al.  Optimal batch quantity models for a lean production system with in-cycle rework and scrap , 2008 .

[6]  Gede Agus Widyadana,et al.  Optimal deteriorating items production inventory models with random machine breakdown and stochastic repair time , 2011 .

[7]  Manoranjan Maiti,et al.  Multi-item inventory model of breakable items with stock-dependent demand under stock and time dependent breakability rate , 2010, Comput. Ind. Eng..

[8]  Singa Wang Chiu,et al.  Intra-supply chain system with multiple sales locations and quality assurance , 2013, Expert Syst. Appl..

[9]  Paul Zipkin Performance Analysis of a Multi-Item Production-Inventory System Under Alternative Policies , 1995 .

[10]  Singa Wang Chiu,et al.  On intra-supply chain system with an improved distribution plan, multiple sales locations and quality assurance , 2015, SpringerPlus.

[11]  Candace Arai Yano,et al.  The economic lot and delivery scheduling problem: The single item case , 1992 .

[12]  Yuan-Shyi Peter Chiu,et al.  Mathematical modeling of a multi-product EMQ model with an enhanced end items issuing policy and failures in rework , 2015, SpringerPlus.

[13]  Mehdi Safaei,et al.  An integrated multi-objective model for allocating the limited sources in a multiple multi-stage lean supply chain , 2014 .

[14]  Robert C. Leachman,et al.  A Heuristic scheduling policy for multi-item, single-machine production systems with time-varying, stochastic demands , 1988 .

[15]  Kenji Muramatsu,et al.  A Near-Optimal Solution Method of Multi-Item Multi-Process Dynamic Lot Size Scheduling Problem , 2003 .

[16]  Singa Wang Chiu,et al.  Multi-product FPR model with rework and multi-shipment policy resolved by algebraic approach , 2015 .

[17]  Dennis L. Bricker,et al.  ANALYSIS OF A MARKOV CHAIN MODEL OF A MULTISTAGE MANUFACTURING SYSTEM WITH INSPECTION, REJECTION, AND REWORK , 1993 .

[18]  Y. Chiu,et al.  Combining an improved multi-delivery policy into a single-producer multi-retailer integrated inventory system with scrap in production , 2014 .

[19]  David F. Pyke,et al.  Inventory management and production planning and scheduling , 1998 .

[20]  L. B. Schwarz,et al.  Fill-Rate Optimization in a One-Warehouse N-Identical Retailer Distribution System , 1985 .

[21]  Julius Surkis,et al.  A control policy for multi-item inventories with fluctuating demand using simulation , 1975, Comput. Oper. Res..

[22]  Marina Schmid,et al.  Optimization In Operations Research , 2016 .

[23]  Awi Federgruen,et al.  Determining Production Schedules Under Base-Stock Policies in Single Facility Multi-Item Production Systems , 1998, Oper. Res..

[24]  Adam Janiak,et al.  Batching work and rework processes with limited deterioration of reworkables , 2006, Comput. Oper. Res..

[25]  Moshe Eben-Chaime,et al.  The effect of discreteness in vendor-buyer relationships , 2004 .

[26]  Y. Chiu,et al.  Joint determination of rotation cycle time and number of shipments for a multi-item EPQ model with random defective rate , 2013 .

[27]  Mei-fang Wu,et al.  Optimization of a multi-product EPQ model with scrap and an improved multi-delivery policy , 2014 .

[28]  Kathryn E. Stecke,et al.  Multiple In‐Cycle Transshipments with Positive Delivery Times , 2012 .

[29]  Sarada Prasad Sarmah,et al.  Coordination of a single-manufacturer/multi-buyer supply chain with credit option , 2008 .

[30]  Aftab Ali Haider,et al.  An implementation of lean scheduling in a job shop environment , 2015 .

[31]  Steven Nahmias,et al.  Production and Operations Analysis, 6th Edition , 2014 .

[32]  Graham K. Rand,et al.  Inventory Management and Production Planning and Scheduling (Third Edition) , 2001, J. Oper. Res. Soc..

[33]  V. Aggarwal Grouping multi-item inventory using common cycle periods , 1984 .

[34]  Ruhul A. Sarker,et al.  An optimal batch size for a production system operating under periodic delivery policy , 1999 .

[35]  R. Hall On the integration of production and distribution: Economic order and production quantity implications , 1996 .

[36]  Dah-Chuan Gong,et al.  On an Economic Production Quantity Model with Two Unreliable Key Components Subject to Random Failures , 2014 .

[37]  Paul H. Zipkin,et al.  Foundations of Inventory Management , 2000 .

[38]  Felix Hueber,et al.  Production And Operations Analysis , 2016 .

[39]  Izvirni znanstveni članek A hierarchical framework for index computation in sustainable manufacturing , 2015 .

[40]  Hong-Dar Lin,et al.  Solving a vendor–buyer integrated problem with rework and a specific multi-delivery policy by a two-phase algebraic approach , 2014 .

[41]  Ali M. Zargar,et al.  Effect of rework strategies on cycle time , 1995 .