On a volume flexible production policy in a family production context
01 Jan 2006-Yugoslav Journal of Operations Research (National Library of Serbia)-Vol. 16, Iss: 1, pp 85-96
TL;DR: In this paper, a mathematical model for a volume flexible manufacturing system is developed in a family production context, assuming that there exists a dedicated production facility as well as a separate management unit for each of the items.
Abstract: A mathematical model for a volume flexible manufacturing system is developed in a family production context, assuming that there exists a dedicated production facility as well as a separate management unit for each of the items. The possibility of machine breakdowns resulting in idle times of the respective management units is taken into account. The production rates are treated as decision variables. It is also assumed that there is a limitation on the capital available for total production. An optimal production policy is derived with maximization of profit as the criterion of optimality. The results are illustrated with a numerical example. Sensitivity of the optimal solution to changes in the values of some key parameters is also studied
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TL;DR: In this article, a stock-dependent inventory model for perishable items in a supermarket is presented, where the management of such business sector decides to stimulate the customer's demand by reducing the sales price.
Abstract: SYNOPTIC ABSTRACTThe paper deals with a stock-dependent inventory model for perishable items in a supermarket. This type of items undergoes deterioration after a certain time that follows a probability distribution. The management of such business sector decides to stimulate the customer's demand by reducing the sales price. As a result, the demand function is an increasing function of reduction rate on sales price, in practice. The associated profit function is analyzed and maximized by calculus method. Finally, numerical examples with its sensitivity analysis are provided to test the model.
24 citations
TL;DR: In this paper, a volume flexible production inventory model is developed for deteriorating items with time dependent demand rate, the demand rate is taken as cubic function of time and production rate is decision variable.
Abstract: In the present paper a volume flexible production inventory model is developed for deteriorating items with time dependent demand rate. The demand rate is taken as cubic function of time and production rate is decision variable. Production cost becomes a function of production rate. Unit production cost is depending upon material cost, Labor cost and tool or die cost. The deteriorating of unit in an inventory system is taken to weibull distribution. Shortage with partially backlogged are allowed a very natural phenomenon in inventory model.
8 citations
Cites background from "On a volume flexible production pol..."
...= R + G H + HK K t1 + T − t3 .........(23) Hence the total average cost of the per unit time is given by C = 1 T C + P....
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Book•
01 Jan 1968
TL;DR: This report gives the most comprehensive and detailed treatment to date of some of the most powerful mathematical programming techniques currently known--sequential unconstrained methods for constrained minimization problems in Euclidean n-space--giving many new results not published elsewhere.
Abstract: : This report gives the most comprehensive and detailed treatment to date of some of the most powerful mathematical programming techniques currently known--sequential unconstrained methods for constrained minimization problems in Euclidean n-space--giving many new results not published elsewhere. It provides a fresh presentation of nonlinear programming theory, a detailed review of other unconstrained methods, and a development of the latest algorithms for unconstrained minimization. (Author)
2,493 citations
Posted Content•
TL;DR: A survey of the literature on flexibility in manufacturing can be found in this article, where several kinds of flexibilities in manufacturing are defined carefully along with their purposes, the means to obtain them, and some suggested measurements and valuations.
Abstract: This article is an attempt to survey the vast literature on flexibility in manufacturing that has accumulated over the last 10 to 20 years. The survey begins with a brief review of the classical literature on flexibility in economics and organization theory, which provides a background for manufacturing flexibility. Several kinds of flexibilities in manufacturing are then defined carefully along with their purposes, the means to obtain them, and some suggested measurements and valuations. Then we examine the interrelationships among the several flexibilities. Various empirical studies and analytical/optimization models dealing with these flexibilities are reported and discussed. The article concludes with suggestions for some possible future research directions.
1,575 citations
"On a volume flexible production pol..." refers background in this paper
...Empirical observations indicate [18] that the tool or die costs increase as the machine production rate is increased....
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...The treatment of machine production rate as a decision variable is especially appropriate for automated technologies that are volume flexible [18]....
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TL;DR: A survey of the literature on flexibility in manufacturing can be found in this article, where several kinds of flexibilities in manufacturing are defined carefully along with their purposes, the means to obtain them, and some suggested measurements and valuations.
Abstract: This article is an attempt to survey the vast literature on flexibility in manufacturing that has accumulated over the last 10 to 20 years. The survey begins with a brief review of the classical literature on flexibility in economics and organization theory, which provides a background for manufacturing flexibility. Several kinds of flexibilities in manufacturing are then defined carefully along with their purposes, the means to obtain them, and some suggested measurements and valuations. Then we examine the interrelationships among the several flexibilities. Various empirical studies and analytical/optimization models dealing with these flexibilities are reported and discussed. The article concludes with suggestions for some possible future research directions.
1,462 citations
TL;DR: It is demonstrated that lower setup costs can benefit production systems by improving quality control by introducing a simple model that captures a significant relationship between quality and lot size.
Abstract: This paper seeks to demonstrate that lower setup costs can benefit production systems by improving quality control. It does so by introducing a simple model that captures a significant relationship between quality and lot size: while producing a lot, the process can go "out of control" with a given probability each time it produces another item. Once out of control, the process produces defective units throughout its production of the current lot. The system incurs an extra cost for rework and related operations for each defective piece that it produces. Thus, there is an incentive to produce smaller lots, and have a smaller fraction of defective units. The paper also introduces three options for investing in quality improvements: i reducing the probability that the process moves out of control which yields fewer defects, larger lot sizes, fewer setups, and larger holding costs; ii reducing setup costs which yields smaller lot sizes, lower holding costs, and fewer defects; and iii simultaneously using the two previous options. By assuming a specific form of the investment cost function for each option, we explicitly obtain the optimal investment strategy. We also briefly discuss the sensitivity of these solutions to changes in underlying parameter values. A numerical example illustrates the results.
1,133 citations
"On a volume flexible production pol..." refers background in this paper
...Proteus [15], Rosenblat and Lee [16] and Cheng [4] extended the models to the imperfect production processes....
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TL;DR: In this paper, the authors study the effects of an imperfect production process on the optimal production cycle time and derive the optimal cycle time for the case where the defective rate is a function of the set-up cost.
Abstract: In this paper, we study the effects of an imperfect production process on the optimal production cycle time. The system is assumed to deteriorate during the production process and produce some proportion of defective items. The optimal production cycle is derived, and is shown to be shorter than that of the classical Economic Manufacturing Quantity model. The analysis is extended to the case where the defective rate is a function of the set-up cost, for which the set-up cost level and the production cycle time are jointly optimized. Finally, we also consider the case where the deterioration process is dynamic in its nature, i.e., the proportion of defective items is not constant. Both linear, exponential, and multi-state deteriorating processes are studied. Numerical examples are provided to illustrate the derivation of the optimal production cycle time in these situations.
1,021 citations
"On a volume flexible production pol..." refers background in this paper
...[16] Rosenblatt, M.J., and Lee, H.L., "Economic production cycles with imperfect production processes", IIE Trans., 17 (1986) 48-54....
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...Proteus [15], Rosenblat and Lee [16] and Cheng [4] extended the models to the imperfect production processes....
[...]