Search results for "Cost curve"

showing 3 items of 3 documents

Beyond Viner: Smoothed Cost Curves and Co-Detetermination of Output and Production Capacity

2017

We address two problems of traditional cost functions: the discontinuity caused by the production capacity (the marginal cost abruptly becomes infinite when production capacity is reached) and the production capacity is artificially exogenous. So, we introduce a smoothed form of marginal cost function. It progressively tends to infinity when it approaches to the production capacity. Then, we prove that it is perfectly possible to determine directly output, fixed costs and production capacity simultaneously, even if this could lead to a system of equations that is not so elementary to solve because it includes a Lambert function. We also show that the smoothed cost function prevails in both …

Marginal costsymbols.namesakeMathematical optimizationLambert W functionsymbolsEconomicsLong-run cost curvesCost curveSystem of linear equationsFixed costMathematical economicsAverage costSSRN Electronic Journal
researchProduct

Stochastic Scheduling of Production Orders Under Uncertainty

2017

This paper attempts to solve the problem of searching minimum production order completion time variants by means of stochastic logical structures with all cost curve descent points and corresponding minimum-cost schedules. The analysis presented in this paper considers scheduling of unique and small batch production, predominantly to order, which accounts for changing requirements of the customer, the complexity and long production process makespan including its technical preparation. Scheduling of production order was performed by means of GAN networks and employed the concept of soft relations. The cost/time relation analysis is based on two-node network models using the cost curve. A new…

Mathematical optimization021103 operations researchJob shop schedulingComputer science0211 other engineering and technologiesScheduling (production processes)0102 computer and information sciences02 engineering and technology01 natural sciences010201 computation theory & mathematicsCost curveProduction orderCompletion timeBatch productionNetwork model
researchProduct

Stochastic Scheduling of Production Orders Under Uncertainty

2018

This paper attempts to solve the problem of searching minimum production order completion time variants by means of stochastic logical structures with all cost curve descent points and corresponding minimum-cost schedules. The analysis presented in this paper considers scheduling of unique and small batch production, predominantly to order, which accounts for changing requirements of the customer, the complexity and long production process makespan including its technical preparation. Scheduling of production order was performed by means of GAN networks and employed the concept of soft relations. The cost/time relation analysis is based on two-node network models using the cost curve. A new…

Stochastic scheduling · Production orders · Uncertainty · Cost curve
researchProduct