A free analogue of the transportation cost inequality on the circle

The free analogue of the transportation cost inequality so far obtained for measures is extended to the noncommutative setting. Our free transportation cost inequality is for tracial distributions of noncommutative self-adjoint (also unitary) multi-variables in the framework of tracial C*-probability spaces, and it tells that the Wasserstein distance is dominated by the square root of the relative free entropy with respect to a potential of additive type (corresponding to the free case) with some convexity condition. The proof is based on random matrix approximation procedure.

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OPTIMAL FEASIBLE SOLUTIONS TO A ROAD FREIGHT TRANSPORTATION PROBLEM

MALAYSIAN JOURNAL OF COMPUTING ◽

10.24191/mjoc.v5i1.7786 ◽

2020 ◽

Vol 5 (1) ◽

pp. 456

Author(s):

Tolulope Latunde ◽

Joseph Oluwaseun Richard ◽

Opeyemi Odunayo Esan ◽

Damilola Deborah Dare

Keyword(s):

Transportation Problem ◽

Optimal Solution ◽

Transportation Cost ◽

North West ◽

Life Problems ◽

Basic Feasible Solutions ◽

Feasible Solutions ◽

Road Freight Transportation ◽

The Cost ◽

Cost Of Transportation

For twenty decades, there is a visible ever forward advancement in the technology of mobility, vehicles and transportation system in general. However, there is no "cure-all" remedy ideal enough to solve all life problems but mathematics has proven that if the problem can be determined, it is most likely solvable. New methods and applications will keep coming to making sure that life problems will be solved faster and easier. This study is to adopt a mathematical transportation problem in the Coca-Cola company aiming to help the logistics department manager of the Asejire and Ikeja plant to decide on how to distribute demand by the customers and at the same time, minimize the cost of transportation. Here, different algorithms are used and compared to generate an optimal solution, namely; North West Corner Method (NWC), Least Cost Method (LCM) and Vogel’s Approximation Method (VAM). The transportation model type in this work is the Linear Programming as the problems are represented in tables and results are compared with the result obtained on Maple 18 software. The study shows various ways in which the initial basic feasible solutions to the problem can be obtained where the best method that saves the highest percentage of transportation cost with for this problem is the NWC. The NWC produces the optimal transportation cost which is 517,040 units.

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Socioeconomic patient benefits of a pediatric neurosurgery telemedicine clinic

Journal of Neurosurgery Pediatrics ◽

10.3171/2019.8.peds1925 ◽

2020 ◽

Vol 25 (2) ◽

pp. 204-208 ◽

Cited By ~ 2

Author(s):

Kelsey Hayward ◽

Sabrina H. Han ◽

Alexander Simko ◽

Hector E. James ◽

Philipp R. Aldana

Keyword(s):

Travel Time ◽

Cost Savings ◽

Transportation Cost ◽

Pediatric Neurosurgery ◽

University Of Florida ◽

Remote Location ◽

Socioeconomic Data ◽

The University ◽

Time Away

OBJECTIVEThe objective of this study was to examine the socioeconomic benefits to the patients and families attending a regional pediatric neurosurgery telemedicine clinic (PNTMC).METHODSA PNTMC was organized by the Division of Pediatric Neurosurgery of the University of Florida College of Medicine–Jacksonville based at Wolfson Children’s Hospital and by the Children’s Medical Services (CMS) to service the Southeast Georgia Health District. Monthly clinics are held with the CMS nursing personnel at the remote location. A retrospective review of the clinic population was performed, socioeconomic data were extracted, and cost savings were calculated.RESULTSClinic visits from August 2011 through January 2017 were reviewed. Fifty-five patients were seen in a total of 268 initial and follow-up PNTMC appointments. The average round-trip distance for a family from home to the University of Florida Pediatric Neurosurgery (Jacksonville) clinic location versus the PNTMC remote location was 190 versus 56 miles, respectively. The families saved an average of 2.5 hours of travel time and 134 miles of travel distance per visit. The average transportation cost savings for all visits per family and for all families was $180 and $9711, respectively. The average lost work cost savings for all visits per family and for all families was $43 and $2337, respectively. The combined transportation and work cost savings for all visits totaled $223 per family and $12,048 for all families. Average savings of $0.68/mile and $48.50/visit in utilizing the PNTMC were calculated.CONCLUSIONSManaging pediatric neurosurgery patients and their families via telemedicine is feasible and saves families substantial travel time, travel cost, and time away from work.

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Growth and Economic Profitability of Castor Cultivation in the Semi-arid Zone of Haryana

Indian Journal of Economics and Development ◽

10.35716/ijed/ns20-011 ◽

2020 ◽

pp. 300-305

Keyword(s):

Arid Zone ◽

Cropping Systems ◽

Descriptive Analysis ◽

Market Price ◽

Transportation Cost ◽

Castor Seed ◽

Production Constraints ◽

Net Profit ◽

Semi Arid ◽

Extract Information

The present study was carried out in three districts viz; Rewari, Sirsa and Hisar of Haryana state. A survey of 60 sampled farms was conducted to extract information pertaining to various expenses incurred in cultivation of castor and output attained as well as to ascertain the perception of farmers for various problems encountered in production and marketing of castor seed. The descriptive analysis was employed to draw valid inferences from the study. The results revealed that net profit accrued from cultivation of castor seed was ₹ 46331 ha -1 in the study area. The value of B: C ratio of castor cultivation was more than one and also higher as compared to prevalent cropping systems indicated that cultivation of castor seed is economical viable entity. However, production constraints like retention of F2 seed in the field over year, grain scattering, shortage of irrigation water, frost effect on crop yield and marketing constraints like absence of MSP, higher transportation cost sale of castor seed in distant markets, frequent fluctuation in market price, non-availability of processing units were observed.

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