Floating a private tender for the outsourcing of pharmacy operations in a large hospital can be a complex process that requires careful planning and attention to detail. Here are the general steps you can follow to float a private tender for this purpose:

1. Determine the scope of the pharmacy operations that you want to outsource. This may include functions such as dispensing medications, managing inventory, and providing clinical support to patients and healthcare providers.
2. Develop a request for proposal (RFP) document that outlines the requirements for the pharmacy outsourcing contract, including the scope of services, performance standards, and any specific requirements or preferences that the hospital may have.
3. Identify potential pharmacy outsourcing partners that have the expertise, capacity, and resources to fulfill the requirements of the RFP. You can use various methods to identify potential partners, such as online searches, industry directories, and referrals from other hospitals or healthcare providers.
4. Contact the potential partners to inform them about the tender and provide them with a copy of the RFP.
5. Set a deadline for the submission of proposals and allow enough time for the potential partners to review the RFP and prepare their proposals.
6. Review the proposals carefully, considering factors such as the quality of the services offered, the pricing, and the experience and capabilities of the potential partners.
7. Select the proposal that best meets the needs and requirements of the hospital, and negotiate the terms of the contract with the successful bidder.
8. Monitor the performance of the outsourcing partner to ensure that they are meeting the terms of the contract and providing high-quality pharmacy services to the hospital.