Establishing relation between production rate and product quality in a single-vendor multi-buyer supply chain model

This paper develops a fuzzy two-layer supply chain for manufacturer and retailer with defective and non-defective types of products. The manufacturer produces up to a specific time, including faulty and non-defective items, and after the screening, the non-defective item sends to the retailer. The retailer’s strategy is to do the screening of items received from the manufacturer; subsequently, the perfect quality items are used to fulfill the customer’s demand, and the defective items are reworked. The retailer considers that customer demand is time and reliability dependent. The supply chain considers probabilistic deterioration for the manufacturer and retailers along with the strategies such as production rate, unit production cost, cost of idle time of manufacturer, screening, rework, etc. The optimum average profit of the integrated model is evaluated for both the cases crisp and fuzzy environments. Managerial insights and the effect of changes in the parameters’ values on the optimal inventory policy under fuzziness are presented.

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Controllable Production Rate and Quality Improvement in a Two-Echelon Supply Chain Model

IFIP Advances in Information and Communication Technology - Advances in Production Management Systems. Production Management for Data-Driven, Intelligent, Collaborative, and Sustainable Manufacturing ◽

10.1007/978-3-319-99704-9_29 ◽

2018 ◽

pp. 238-245

Author(s):

Mitali Sarkar ◽

Byung Do Chung

Keyword(s):

Supply Chain ◽

Quality Improvement ◽

Production Rate ◽

Chain Model ◽

Supply Chain Model

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Comment on ‘Supply chain model for a deteriorating product with time-varying demand and production rate’ by Giri and Maiti

Journal of the Operational Research Society ◽

10.1057/jors.2012.162 ◽

2013 ◽

Vol 64 (11) ◽

pp. 1693-1694 ◽

Cited By ~ 1

Author(s):

C-Y Dye ◽

T-P- Hsieh

Keyword(s):

Supply Chain ◽

Production Rate ◽

Chain Model ◽

Time Varying ◽

Supply Chain Model ◽

Varying Demand

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Effects of Variable Production Rate and Time-Dependent Holding Cost for Complementary Products in Supply Chain Model

Mathematical Problems in Engineering ◽

10.1155/2017/2825103 ◽

2017 ◽

Vol 2017 ◽

pp. 1-13 ◽

Cited By ~ 8

Author(s):

Mitali Sarkar ◽

Sun Hur ◽

Biswajit Sarkar

Keyword(s):

Supply Chain ◽

Production Rate ◽

Graphical Representation ◽

Stackelberg Game ◽

Time Dependent ◽

Chain Model ◽

Complementary Products ◽

Supply Chain Model ◽

Holding Cost ◽

Variable Production

Recently, a major trend is going to redesign a production system by controlling or making variable the production rate within some fixed interval to maintain the optimal level. This strategy is more effective when the holding cost is time-dependent as it is interrelated with holding duration of products and rate of production. An effort is made to make a supply chain model (SCM) to show the joint effect of variable production rate and time-varying holding cost for specific type of complementary products, where those products are made by two different manufacturers and a common retailer makes them bundle and sells bundles to end customers. Demand of each product is specified by stochastic reservation prices with a known potential market size. Those players of the SCM are considered with unequal power. Stackelberg game approach is employed to obtain global optimum solution of the model. An illustrative numerical example, graphical representation, and managerial insights are given to illustrate the model. Results prove that variable production rate and time-dependent holding cost save more than existing literature.

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A multi-retailer supply chain model with backorder and variable production cost

RAIRO - Operations Research ◽

10.1051/ro/2017013 ◽

2018 ◽

Vol 52 (3) ◽

pp. 943-954 ◽

Cited By ~ 19

Author(s):

Arunava Majumder ◽

Chandra K. Jaggi ◽

Biswajit Sarkar

Keyword(s):

Supply Chain ◽

Production Rate ◽

Production Cost ◽

Optimization Technique ◽

Chain Model ◽

Supply Chain Network ◽

Supply Chain System ◽

Supply Chain Model ◽

Multiple Buyers ◽

Variable Production

The modern marketing environment involves variability and randomness within the numerous parties of any supply chain network. Thus, formation of a supply chain model including multiple buyers and variable production rate is more acceptable than assuming a single-buyer with constant production rate model. This paper considers a supply chain network, where a single-vendor manufactures products in a batch production process and supplies them to a set of buyers over multiple times. Instead of assuming a fixed production rate, as commonly used in the literature, a variable production rate is introduced by the vendor and the production cost of the vendor is treated as a function of production rate. The continuous review inventory model is applied for multiple buyers to inspect inventory levels and a crashing cost is incurred by all buyers to reduce their lead times. The lead time demand follows a normal distribution. The unsatisfied demands at the buyers end are partially backordered. A model is formulated to minimize the joint expected cost of the vendor-buyers supply chain system. A classical optimization technique is utilized to solve the model. An improved algorithm is developed to obtain the numerical solution of the model. Finally, numerical examples are given to illustrate the model.

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A Co-Ordinated Single-Vendor Multi-Buyer Supply Chain Model

Successful Strategies in Supply Chain Management ◽

10.4018/978-1-59140-303-6.ch001 ◽

2005 ◽

pp. 1-27

Author(s):

Chi Kin Chan ◽

Brian G. Kingsman

Keyword(s):

Mathematical Model ◽

Supply Chain ◽

Production Cycle ◽

Chain Model ◽

Single Vendor ◽

Supply Chain Model ◽

Production Cycles ◽

Lot Sizes ◽

Independent Optimisation ◽

Better Than

his chapter considers the co-ordination in a single-vendor multi-buyer supply chain by synchronising ordering and production cycles. The synchronisation is achieved by scheduling the actual ordering days of the buyers and co-ordinating it with the vendor’s production cycle whilst allowing the buyers to choose their own lot sizes and order cycle. A mathematical model for our proposed co-ordination is developed and analysed. Our results show that the synchronised cycles policy works better than independent optimisation or restricting buyers to adopt a common order cycle. Some illustrative examples demonstrate that there are circumstances where both the vendor and the buyers gain from such synchronisation without the need for price and quantity discount incentives.

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