An effort allocation model considering different budgetary constraint on fault detection process and fault correction process

Chaudhary

Int. j. math. eng. manag. sci.

et al. 2023

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A new product's introduction to the market is greatly influenced by effective and enough advertising. In this paper, we have considered a problem in which the firm partitions the market into various segments to reduce costs associated with advertising and targets to maximize the total profit. By integrating single channel and differentiated advertising to segmented market, we extend Nerlove-goodwill Arrow's dynamic model in which advertising variables are control variables. It is assumed that the whole available budget is imprecise and fuzzy in nature in order to create a realistic model. Using necessity and possibility constraints, the optimal control model with fuzzy parameters is transformed into crisp form, and the Pontryagin Maximum principle is then used to solve the problem. Numerical examples are provided to support the theoretical analysis.

Section: Mathematical Approach To Solve the Crisp Optimal Control Pro...mentioning

confidence: 99%

Dynamic Advertising-based Goodwill Incorporating Fuzzy Environment in Segment-Specific Market

Chaudhary

Int. j. math. eng. manag. sci.

et al. 2023

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“…proposed a technique to optimally allocation of resources and minimize the testing cost of software under dynamic conditions during the operational and testing process. Kumar and Sahni 8 assumed a timed lag between fault correction and detection with the objective to assign the test resources in an optimal way to reduce costs during the testing process using Fault correction process (FCP) and Fault detection process (FDP) in a dynamic environment. Authors also considered correction process and detection process as independent activities with separate budgetary constraints.…”

Section: Literature Reviewmentioning

confidence: 99%

A novel CRITIC‐TOPSIS approach for optimal selection of software reliability growth model (SRGM)

Saxena

Quality & Reliability Eng

Ram

2022

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Various Software Reliability Growth Models (SRGMs) have been developed over last five decades to estimate the failure rate, software reliability and remaining number of faults in the software during testing phase of software development life cycle. There are numerous SRGMs available in the research literature and in the presence of numerous SRGM, appropriate selection is a staggering task for the software testing professionals. In the software reliability area, researchers have always been interested to select the optimal SRGM to use in a particular situation. In this study, we have developed an integrated technique based on Criteria Importance Through Inter Criteria Correlation (CRITIC) and Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) to select the optimal SRGM. The weights of criteria are obtained by the CRITIC method and SRGMs are ranked by order using TOPSIS method. The working of proposed integrated CRITIC‐TOPSIS approach is illustrated on the two real‐time failure data sets. Furthermore, the methodology validation idea supports the current study by comparing the results obtained with the previous multi‐criteria decision making (MCDM) methodologies namely Additive Ratio Assessment (ARAS). The study revealed that the ranking of SRGMs can be solved effectively using the integration of CRITIC and TOPSIS. The result of this study plays a significant role to take decisions and to evaluate the feasibility of SRGM.

Int J Math, Eng, Manag Sci

“…In order to obtain the dynamic promotional effort policies, we use Pontryagin's Maximum Principle (Seierstad and Sydsaeter, 1987;Kumar et al, 2014;Kumar and Sahni, 2016;Kumar et al, 2017;Kumar et al, 2019) to solve the optimal control problem expressed in Eq. (6).…”

Section: The Optimal Dynamic Promotional Strategymentioning

confidence: 99%

Optimal Promotional Effort Policy in Innovation Diffusion Model Incorporating Dynamic Market Size in Segment Specific Market

Mehta¹,

Chaudhary²,

Kumar³

2020

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Due the increasing globalization of market and diverse consumer groups, market segmentation becomes an ever more important concept in current market scenario. After market segmentation, firms use the available promotional strategies to target market. In this paper, we present a model of determining the optimal dynamic promotional policies for a product in segmented market incorporating dynamic market size, where sales is assumed to be evolved through mass and differentiated promotion. Mass promotional effort is allowed in whole market with a fixed spectrum for each segment while differentiated promotion is targeted to each segment independently. The optimal promotional effort policy for each segment is obtained by applying maximum principle. Numerical illustrations are provided to show the effectiveness of the proposed method and solution procedure by discretizing the optimal control model. Furthermore, sensitivity analysis of the discount rate parameter is carried out and presented.